U-tiling: UQC799
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc622 |
*222222 |
(2,4,3) |
{10,3} |
{4.6.6.6.4.4.6.6.6.4}{6.6.6} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
G
|
False
|
|
sqc1777
|
|
I212121 |
24 |
orthorhombic |
{3,10} |
6 |
(2,5) |
|
D
|
False
|
|
sqc14557
|
|
Pmmm |
47 |
orthorhombic |
{3,10} |
3 |
(2,4) |
Topological data
| Vertex degrees | {10,3} |
| 2D vertex symbol | {4.6.6.6.4.4.6.6.6.4}{6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.1:64:17 4 5 38 39 24 25 12 13 46 47 32 20 21 54 55 28 29 62 63 49 36 37 56 57 44 45 64 52 53 60 61,2 11 36 6 8 10 44 14 16 18 27 52 22 24 26 60 30 32 34 43 38 40 42 46 48 50 59 54 56 58 62 64,9 3 5 7 16 11 13 15 25 19 21 23 32 27 29 31 41 35 37 39 48 43 45 47 57 51 53 55 64 59 61 63:6 6 4 6 4 6,3 10 3 10 3 3> {(2, 31): 'tau2^-1*t3^-1', (0, 23): 't3', (0, 61): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 56): 't1^-1*tau3^-1*t2', (0, 31): 'tau2^-1*t1', (0, 38): 't2^-1', (2, 15): 't1^-1', (2, 32): 't2^-1*tau3', (0, 63): 'tau2^-1*t3^-1*tau1*t2', (0, 53): 'tau1*t3^-1', (0, 62): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 46): 'tau3^-1', (0, 55): 'tau1*t2', (1, 58): 't1^-1*tau3^-1*t2', (0, 45): 'tau3^-1', (0, 54): 'tau1*t3^-1', (2, 63): 'tau2^-1*t3^-1', (1, 42): 'tau3^-1*t2', (0, 56): 't1^-1', (0, 37): 't2^-1', (1, 43): 't1', }